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What is the Square Root of 21123?

The square root of 21123 is 145.3375381655. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21123 = 145.3375381655
CalculatedNon-perfect squareIrrational
Exact form√21123
Perfect squareNo
Number typeIrrational
Verification145.33753816552 ≈ 21123

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How the answer is calculated

We solve x2 = 21123. The resulting value is x = 145.3375381655.

Verification: 145.33753816552 ≈ 21123.

Simplified radical form

The square root of 21123 in simplified radical form is 3√2347.

This is equivalent to √21123, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21120145.3272169967
√21121145.3306574677
√21122145.3340978573
√21123145.3375381655
√21124145.3409783922
√21125145.3444185375
√21126145.3478586014

Number properties

Is 21123 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21123 is irrational because 21123 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 21123.